424189920
424,189,920 is an even composite number composed of seven prime numbers multiplied together.
424189920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 424189920:
25 × 3 × 5 × 7 × 11 × 23 × 499
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 23 × 499)See below for interesting mathematical facts about the number 424189920 from the Numbermatics database.
Names of 424189920
- Cardinal: 424189920 can be written as Four hundred twenty-four million, one hundred eighty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.2418992 × 108
Factors of 424189920
Divisors of 424189920
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 23 24 28 30 32 33 35 40 42 44 46 48 55 56 60 66 69 70 77 80 84 88 92 96 105 110 112 115 120 132 138 140 154 160 161 165 168 176 184 210 220 224 230 231 240 253 264 276 280 308 322 330 336 345 352 368 385 420 440 460 462 480 483 499 506 528 552 560 616 644 660 672 690 736 759 770 805 840 880 920 924 966 998 1012 1056 1104 1120 1155 1232 1265 1288 1320 1380 1497 1518 1540 1610 1680 1760 1771 1840 1848 1932 1996 2024 2208 2310 2415 2464 2495 2530 2576 2640 2760 2994 3036 3080 3220 3360 3493 3542 3680 3696 3795 3864 3992 4048 4620 4830 4990 5060 5152 5280 5313 5489 5520 5988 6072 6160 6440 6986 7084 7392 7485 7590 7728 7984 8096 8855 9240 9660 9980 10120 10479 10626 10978 11040 11477 11976 12144 12320 12880 13972 14168 14970 15180 15456 15968 16467 17465 17710 18480 19320 19960 20240 20958 21252 21956 22954 23952 24288 25760 26565 27445 27944 28336 29940 30360 32934 34431 34930 35420 36960 38423 38640 39920 40480 41916 42504 43912 45908 47904 52395 53130 54890 55888 56672 57385 59880 60720 65868 68862 69860 70840 76846 77280 79840 80339 82335 83832 85008 87824 91816 104790 106260 109780 111776 114770 115269 119760 121440 126247 131736 137724 139720 141680 153692 160678 164670 167664 170016 172155 175648 183632 192115 209580 212520 219560 229540 230538 239520 241017 252494 263472 275448 279440 283360 307384 321356 329340 335328 344310 367264 378741 384230 401695 419160 425040 439120 459080 461076 482034 504988 526944 550896 558880 576345 614768 631235 642712 658680 688620 757482 768460 803390 838320 850080 878240 883729 918160 922152 964068 1009976 1101792 1152690 1205085 1229536 1262470 1285424 1317360 1377240 1514964 1536920 1606780 1676640 1767458 1836320 1844304 1893705 1928136 2019952 2305380 2410170 2524940 2570848 2634720 2651187 2754480 3029928 3073840 3213560 3534916 3688608 3787410 3856272 4039904 4418645 4610760 4820340 5049880 5302374 5508960 6059856 6147680 6427120 7069832 7574820 7712544 8837290 9221520 9640680 10099760 10604748 12119712 12854240 13255935 14139664 15149640 17674580 18443040 19281360 20199520 21209496 26511870 28279328 30299280 35349160 38562720 42418992 53023740 60598560 70698320 84837984 106047480 141396640 212094960 424189920
- Sum of all divisors σ(n): 1741824000
- Sum of proper divisors (its aliquot sum) s(n): 1317634080
- 424189920 is an abundant number, because the sum of its proper divisors (1317634080) is greater than itself. Its abundance is 893444160
Bases of 424189920
- Binary: 110010100100010011111111000002
- Hexadecimal: 0x19489FE0
- Base-36: 70JV1C
Squares and roots of 424189920
- 424189920 squared (4241899202) is 179937088229606400
- 424189920 cubed (4241899203) is 76327499061149680447488000
-
The
square root of 424189920 is 20595.8714309447 -
The
cube root of 424189920 is 751.3693029357
Scales and comparisons
How big is 424189920?- 424,189,920 seconds is equal to 13 years, 25 weeks, 2 days, 14 hours, 32 minutes.
-
To count from 1 to 424,189,920 would take you about twenty years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 424189920 cubic inches would be around 62.6 feet tall.
Recreational maths with 424189920
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 424189920 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 424189920 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/424189920/
Chicago style:
Numbermatics. 2024. "Number 424189920 - Facts about the integer". https://numbermatics.com/n/424189920/
The information we have on file for 424189920 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 424189920, math, Factors of 424189920, curriculum, school, college, exams, university, Prime factorization of 424189920, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-four million, one hundred eighty-nine thousand, nine hundred twenty.